Which expression can be used to convert 22 Australian dollars to US dollars?

Question

Assume 1.2 Australian dollars equals 1 US dollar.

$22 AUD × StartFraction 1.2 U S D Over 1 A U D EndFraction
$22 AUD × StartFraction 1 U S D Over 1.2 A U D EndFraction
$1.20 AUD × StartFraction 1 U S D Over 1.2 A U D EndFraction
$1.20 AUD × StartFraction 1.2 A U D Over 1 A U D EndFraction

Answer 1

To convert Australian dollars (AUD) to US dollars (USD) using the given exchange rate of 1.2 AUD to 1 USD, we need to use the appropriate fraction that allows us to cancel out AUD and leave us with USD.

The correct expression for converting AUD to USD is:

\[ 22 , \text{AUD} \times \frac{1 , \text{USD}}{1.2 , \text{AUD}} \]

This expression makes sense because it uses the conversion factor that relates AUD to USD, specifically converting the amount in AUD (22) into the equivalent amount in USD.

Thus, the correct choice is:

\[ \textbf{(B) } 22 , \text{AUD} \times \frac{1 , \text{USD}}{1.2 , \text{AUD}} \]